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Finding the Fourth Proportional to 10,200.80, 15,301.20 and 6,701.60

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Solution

The fourth proportional to 10,200.80, 15,301.20 and 6,701.60 is: 10,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.80 : 15,301.20 = 6,701.60 : x
  2. Step 2: Convert to fraction form
    10,200.80/15,301.20 = 6,701.60/x
  3. Step 3: Cross multiply
    10,200.80x = 15,301.20 × 6,701.60
  4. Step 4: Simplify right side
    10,200.80x = 102,542,521.92
  5. Step 5: Solve for x
    x = 102,542,521.92/10,200.80
  6. Step 6: Final answer
    x = 10,052.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.